GCD of 828, 548, 172 Calculator

Given Input numbers are 828, 548, 172

In the factoring method, we have to find the divisors of all numbers

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (828, 548, 172) = 4.

Given numbers are 828, 548, 172

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 548 are 2 x 2 x 137

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 828, 548, 172 is 4.

Given numbers are 828, 548, 172

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(828, 548) = 113436

GCD(828, 548) = ( 828 x 548 ) / 113436

= 828 / 548

= 828

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 828, 548, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 299, 526
• GCD of 364, 687, 860
• GCD of 631, 221, 752
• GCD of 617, 142, 934
• GCD of 353, 661, 426

Given numbers are 828, 548, 172
The greatest common divisor of numbers 828, 548, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 548, 172 is 4.

1. What is the GCD of 828, 548, 172?

GCD of given numbers 828, 548, 172 is 4

2. How to calculate the greatest common divisor of 828, 548, 172?

We can find the highest common divisor of 828, 548, 172 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 828, 548, 172 i.e 4.

3. How can I use the GCD of 828, 548, 172Calculator?

Out the numbers 828, 548, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.